The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by

The number of ways in which a 7 people can sit around a round table is

The number of ways in which 5 ladies and 7 gentlemen can be seated in a round table so that no two ladies sit together, is

The number of ways in which 7 people can sit around a table if two persons take consecutive seats is

The number of ways in which six boys and six girls can be seated at a round table so that no two girls sit together and two particular girls do not sit next to a particular boy is

Find the number of ways in which 5 girls and 5 boys can be arranged in row (i) if no two boys are together. (ii) if boys and girls are alternate. (iii) all the girls sit together and all the boys sit together. (iv) all the girls are never together.

The number of ways in which 10 people can be assigned to two triple and two double rooms is

The number of ways in which a couple can sit around a table with 6 guests if the couple takes consecutive seats is

Find the number of ways in which six persons can be seated at a round table, so that all shall not have the same neighbours n any two arrangements.

The number of ways in which the letters of the word PESSIMISTIC can be arranged so that no two S's are together, no of two I's are together and letters S and I are never together is

The number of ways in which four persons be seated at a round table, so that all shall not have the same neighbours in any two arrangements,is